306872640 has 168 divisors, whose sum is σ = 1065093120. Its totient is φ = 81091584.

The previous prime is 306872617. The next prime is 306872641. The reversal of 306872640 is 46278603.

306872640 is a `hidden beast` number, since 3 + 0 + 6 + 8 + 7 + 2 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 306872595 and 306872604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (306872641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 365341 + ... + 366179.

It is an arithmetic number, because the mean of its divisors is an integer number (6339840).

Almost surely, 2^306872640 is an apocalyptic number.

306872640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 306872640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532546560).

306872640 is an abundant number, since it is smaller than the sum of its proper divisors (758220480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

306872640 is a wasteful number, since it uses less digits than its factorization.

306872640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 989 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 306872640 is about 17517.7806813534. The cubic root of 306872640 is about 674.5063716072.

The spelling of 306872640 in words is "three hundred six million, eight hundred seventy-two thousand, six hundred forty".